Lectures related to Consequences of TBS

Covers the definition of differential equations and their relation to functions and derivatives.

Discusses the graph of a relation and the concept of separation.

Explores optimization problems in algebra and trinomial equations, focusing on maximizing area with fixed perimeters.

Explores the definition of surfaces, focusing on the torus and its construction through various examples and morphic images.

Explores the implicit functions theorem and the equation of the tangent plane in a graph.

Introduces the theory of categories through examples and discusses the product of categories.

Covers the fundamentals of homotopy and its applications in topology.

Covers Belief Propagation, a key method for both analysis and algorithm.

Explores the identification of the space SO(3) and the topology of SS-space of R₃(R).

Delves into Oppenheim's conjecture on quadratic forms and their connection to number theory.

Covers the topology of Riemann surfaces, focusing on orientation and orientability.

Explores the analytic continuation of the zeta function and its relation to holomorphic functions and natural numbers.

Explores material and energy balances in chemical engineering for process optimization and design.

Introduces binary relations, functions, and various types of relations in sets.

Covers velocity, acceleration, dynamics, moments of inertia, and kinetic energy storage systems.

Explores the properties of the quotient space X/G when X is compact and sometimes separated.

Explores the relation between resistance and force fluctuations in dissipative systems, with applications to various phenomena.

Covers the deduction of the Lagrange formula and virtual displacements with examples of spherical slides.

Explores the properties of relations in computer science, including equivalence relations and the partition of a set.